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Finding the Fourth Proportional to 21,145.71, 29,181.02 and 11,714.28

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Solution

The fourth proportional to 21,145.71, 29,181.02 and 11,714.28 is: 16,165.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,145.71 : 29,181.02 = 11,714.28 : x
  2. Step 2: Convert to fraction form
    21,145.71/29,181.02 = 11,714.28/x
  3. Step 3: Cross multiply
    21,145.71x = 29,181.02 × 11,714.28
  4. Step 4: Simplify right side
    21,145.71x = 341,834,638.97
  5. Step 5: Solve for x
    x = 341,834,638.97/21,145.71
  6. Step 6: Final answer
    x = 16,165.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.